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Finding the Fourth Proportional to 4,802.36, 7,207.63 and 1,882.71

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Solution

The fourth proportional to 4,802.36, 7,207.63 and 1,882.71 is: 2,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.36 : 7,207.63 = 1,882.71 : x
  2. Step 2: Convert to fraction form
    4,802.36/7,207.63 = 1,882.71/x
  3. Step 3: Cross multiply
    4,802.36x = 7,207.63 × 1,882.71
  4. Step 4: Simplify right side
    4,802.36x = 13,569,872.37
  5. Step 5: Solve for x
    x = 13,569,872.37/4,802.36
  6. Step 6: Final answer
    x = 2,825.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.